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相关概念视频

Modes of Standing Waves - I01:03

Modes of Standing Waves - I

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A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This...
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¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
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IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations01:08

IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations

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Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single...
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Modes of Standing Waves: II01:04

Modes of Standing Waves: II

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The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end....
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Standing Waves in a Cavity01:28

Standing Waves in a Cavity

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A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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Bending and Torsional Moments01:20

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Bending and torsional moments are two fundamental concepts in structural engineering. They play an important role in understanding the behavior of materials and structures under different loading conditions.
The reaction developed in a structural element when subjected to an external force causes the element to bend. When a structural element bends upwards, it creates compressive normal forces on the top and tensile normal forces on the bottom, resulting in a couple that determines the bending...
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相关实验视频

Updated: Jul 1, 2025

Measurement of Chladni Mode Shapes with an Optical Lever Method
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探索Jahn-Teller扭曲:一个局部振动模式视角.

Mateus Quintano1, Renaldo T Moura1,2, Elfi Kraka3

  • 1Computational and Theoretical Chemistry Group (CATCO), Department of Chemistry, Southern Methodist University, 3215 Daniel Ave, Dallas, TX, 75275-0314, USA.

Journal of molecular modeling
|March 13, 2024
PubMed
概括

正常模式 (CNM) 程序和附带连接方案 (ACS) 的表征有效地识别了表明Jahn-Teller (JT) 扭曲的光谱变化. 这种强大的协议可以监测金属复合物的对称性变化,帮助未来的研究.

关键词:
这是CNM/ACS协议.雅恩-泰勒效应是什么?地方振动模式理论振动光谱学是一种振动光谱法.

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ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis
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Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
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科学领域:

  • 计算化学计算化学
  • 量子化学 是一个量子化学.
  • 频谱学是一种光谱学.

背景情况:

  • 雅恩-泰勒 (JT) 扭曲显著影响分子对称性和特性.
  • 局部振动模式 (LVM) 理论为理解振动谱提供了一个框架.
  • 识别对称性改变的光谱指纹仍然是一个挑战.

研究的目的:

  • 为了建立正常模式 (CNM) 程序的表征,加上附带连接方案 (ACS),作为检测JT扭曲的工具.
  • 为了研究表谱变化,表明对称性变化在六和六化复合体.
  • 用克雷默-克拉卡标准分析与JT扭曲相关的结合特征转移.

主要方法:

  • 使用PBE0/Def2-TZVP级理论进行电子结构计算.
  • 在局部振动模式理论框架内应用了正常模式 (CNM) 程序和附带连接方案 (ACS) 的表征.
  • 分析了特征性的正常振动模式,并比较了轴向/赤道群频率.

主要成果:

  • CNM反映了与高对称性一致的移位,而ACS证实了两种研究系统中的对称性破坏.
  • 轴和赤道组频率的分离提供了JT扭曲的证据.
  • 观察到从Cr (III) 到Fe (II) /Fe (III) 复合体的赤道键的轴性共价度增加和向静电性转变,后者的共价度增加而不改变键性质.

结论:

  • CNM/ACS协议是一种强大的方法,用于识别对称性变化的光谱指纹,特别是JT扭曲.
  • 该研究提供了关于金属复合体中与JT扭曲相关的结合变化的见解.
  • 这项工作为应用CNM/ACS协议来调查未经探索的JT扭曲铺平了道路.